EduSahara™ Assignment
Name : Graph of Linear Equation
Chapter : Linear Equations and Simultaneous Linear Equations
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
The equation of x-axis is
  • (i)
    y
    =
    0
  • (ii)
    y
    =
    1
  • (iii)
    x
    =
    1
  • (iv)
    x
    =
    0
  • (v)
    y
    =
    x
Question 2
2.
The equation of y-axis is
  • (i)
    y
    =
    x
  • (ii)
    x
    =
    1
  • (iii)
    y
    =
    1
  • (iv)
    x
    =
    0
  • (v)
    y
    =
    0
Question 3
3.
Any line parallel to x-axis is
  • (i)
    a horizontal line
  • (ii)
    an oblique line
  • (iii)
    a vertical line
  • (iv)
    a curved line
Question 4
4.
Any line parallel to y-axis is
  • (i)
    a vertical line
  • (ii)
    a curved line
  • (iii)
    a horizontal line
  • (iv)
    an oblique line
Question 5
5.
A line which is neither parallel to x-axis nor y-axis is
  • (i)
    a horizontal line
  • (ii)
    an oblique line
  • (iii)
    a vertical line
  • (iv)
    a curved line
Question 6
6.
    • The point of intersection of x-axis and y-axis
  • (i)
    (
    0
    ,
    0
    )
  • (ii)
    (
    6
    ,
    0
    )
  • (iii)
    (
    1
    ,
    0
    )
  • (iv)
    (
    1
    ,
    1
    )
  • (v)
    (
    0
    ,
    8
    )
Question 7
7.
Equation of a straight line which is parallel to x-axis (where k is a constant) is
  • (i)
    x
    =
    y
  • (ii)
    y
    =
    k
  • (iii)
    x
    =
    k
  • (iv)
    x
    =
    0
  • (v)
    y
    =
    0
Question 8
8.
Equation of a straight line which is parallel to y-axis (where k is a constant) is
  • (i)
    y
    =
    k
  • (ii)
    x
    =
    y
  • (iii)
    x
    =
    0
  • (iv)
    y
    =
    0
  • (v)
    x
    =
    k
Question 9
9.
Find the equation of the displayed line
  • (i)
    x
    =
    2
  • (ii)
    y
    =
    3
  • (iii)
    3
    y
    =
    2
  • (iv)
    y
    =
    2
  • (v)
    y
    =
    1
Question 10
10.
Find the equation of the displayed line
  • (i)
    y
    =
    (
    1
    )
  • (ii)
    x
    =
    (
    1
    )
  • (iii)
    x
    =
    0
  • (iv)
    x
    =
    (
    2
    )
  • (v)
    3
    x
    =
    (
    1
    )
Question 11
11.
    • Find the equation of the line passing through the points
    • (
      (
      6
      )
      ,
      (
      3
      )
      )
    • and
    • (
      (
      4
      )
      ,
      (
      4
      )
      )
  • (i)
    (
    2
    x
    2
    y
    12
    )
    =
    0
  • (ii)
    (
    2
    y
    12
    )
    =
    0
  • (iii)
    (
    x
    +
    2
    y
    +
    10
    )
    =
    0
  • (iv)
    (
    x
    +
    2
    y
    +
    11
    )
    =
    0
  • (v)
    (
    x
    2
    y
    12
    )
    =
    0
Question 12
12.
The equation of the x-axis is
a)
    • x
      =
      y
b)
    • y
      =
      1
c)
    • x
      =
      0
d)
    • x
      =
      1
e)
    • y
      =
      0
  • (i)
    {a,e}
  • (ii)
    {c,d,e}
  • (iii)
    {e}
  • (iv)
    {b,e}
Question 13
13.
    • Which of the following lines pass through the origin?
  • (i)
    (
    5
    x
    +
    9
    y
    42
    )
    =
    0
  • (ii)
    (
    4
    x
    2
    y
    6
    )
    =
    0
  • (iii)
    (
    3
    x
    3
    y
    )
    =
    0
  • (iv)
    (
    14
    x
    5
    y
    44
    )
    =
    0
  • (v)
    (
    5
    x
    2
    y
    7
    )
    =
    0
Question 14
14.
    • Which of the following lines do not pass through the origin?
  • (i)
    (
    4
    x
    +
    5
    y
    )
    =
    0
  • (ii)
    (
    7
    x
    +
    8
    y
    )
    =
    0
  • (iii)
    (
    3
    x
    +
    7
    y
    +
    43
    )
    =
    0
  • (iv)
    (
    x
    4
    y
    )
    =
    0
  • (v)
    (
    x
    6
    y
    )
    =
    0
Question 15
15.
    • Find the set of points satisfying the equation
    • (
      7
      x
      +
      15
      y
      +
      18
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      (
      32

      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5

      3
      )
      )
    • ,
    • (
      0
      ,
      (
      6

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      11

      15
      )
      )
    • ,
    • (
      4
      ,
      26

      15
      )
  • (ii)
    • (
      (
      2
      )
      ,
      (
      32

      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5

      3
      )
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      16

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      11

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      4

      15
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      (
      32

      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5

      3
      )
      )
    • ,
    • (
      0
      ,
      (
      6

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      11

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      4

      15
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      (
      32

      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5

      3
      )
      )
    • ,
    • (
      1
      ,
      (
      11

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      11

      15
      )
      )
    • ,
    • (
      2
      ,
      (
      4

      15
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      (
      32

      15
      )
      )
    • ,
    • (
      (
      1
      )
      ,
      (
      5

      3
      )
      )
    • ,
    • (
      0
      ,
      (
      6

      5
      )
      )
    • ,
    • (
      0
      ,
      4

      15
      )
    • ,
    • (
      2
      ,
      (
      4

      15
      )
      )
Question 16
16.
    • Find the set of points satisfying the equation
    • y
      =
      (
      8

      5
      x
      +
      39

      5
      )
  • (i)
    • (
      (
      2
      )
      ,
      23

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      31

      5
      )
    • ,
    • (
      0
      ,
      39

      5
      )
    • ,
    • (
      1
      ,
      47

      5
      )
    • ,
    • (
      2
      ,
      11
      )
  • (ii)
    • (
      (
      2
      )
      ,
      23

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      31

      5
      )
    • ,
    • (
      (
      2
      )
      ,
      29

      5
      )
    • ,
    • (
      1
      ,
      47

      5
      )
    • ,
    • (
      2
      ,
      11
      )
  • (iii)
    • (
      (
      2
      )
      ,
      23

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      31

      5
      )
    • ,
    • (
      1
      ,
      34

      5
      )
    • ,
    • (
      1
      ,
      47

      5
      )
    • ,
    • (
      2
      ,
      11
      )
  • (iv)
    • (
      (
      2
      )
      ,
      23

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      31

      5
      )
    • ,
    • (
      0
      ,
      39

      5
      )
    • ,
    • (
      1
      ,
      47

      5
      )
    • ,
    • (
      4
      ,
      13
      )
  • (v)
    • (
      (
      2
      )
      ,
      23

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      31

      5
      )
    • ,
    • (
      0
      ,
      39

      5
      )
    • ,
    • (
      0
      ,
      52

      5
      )
    • ,
    • (
      2
      ,
      11
      )
Question 17
17.
    • Find the set of points satisfying the equation
    • x
      =
      (
      1

      5
      y
      +
      31

      5
      )
  • (i)
    • (
      (
      2
      )
      ,
      41
      )
    • ,
    • (
      (
      1
      )
      ,
      36
      )
    • ,
    • (
      1
      ,
      30
      )
    • ,
    • (
      1
      ,
      26
      )
    • ,
    • (
      2
      ,
      21
      )
  • (ii)
    • (
      (
      2
      )
      ,
      41
      )
    • ,
    • (
      (
      1
      )
      ,
      36
      )
    • ,
    • (
      0
      ,
      31
      )
    • ,
    • (
      1
      ,
      26
      )
    • ,
    • (
      4
      ,
      23
      )
  • (iii)
    • (
      (
      2
      )
      ,
      41
      )
    • ,
    • (
      (
      1
      )
      ,
      36
      )
    • ,
    • (
      0
      ,
      31
      )
    • ,
    • (
      0
      ,
      27
      )
    • ,
    • (
      2
      ,
      21
      )
  • (iv)
    • (
      (
      2
      )
      ,
      41
      )
    • ,
    • (
      (
      1
      )
      ,
      36
      )
    • ,
    • (
      (
      2
      )
      ,
      29
      )
    • ,
    • (
      1
      ,
      26
      )
    • ,
    • (
      2
      ,
      21
      )
  • (v)
    • (
      (
      2
      )
      ,
      41
      )
    • ,
    • (
      (
      1
      )
      ,
      36
      )
    • ,
    • (
      0
      ,
      31
      )
    • ,
    • (
      1
      ,
      26
      )
    • ,
    • (
      2
      ,
      21
      )
Question 18
18.
    • Find the set of points satisfying the equation
    • y
      =
      (
      13

      12
      x
      )
  • (i)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13

      12
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      2
      )
      )
    • ,
    • (
      1
      ,
      (
      13

      12
      )
      )
    • ,
    • (
      2
      ,
      (
      13

      6
      )
      )
  • (ii)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13

      12
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      13

      12
      )
      )
    • ,
    • (
      4
      ,
      (
      1

      6
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13

      12
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      0
      ,
      (
      1

      12
      )
      )
    • ,
    • (
      2
      ,
      (
      13

      6
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13

      12
      )
    • ,
    • (
      1
      ,
      (
      1
      )
      )
    • ,
    • (
      1
      ,
      (
      13

      12
      )
      )
    • ,
    • (
      2
      ,
      (
      13

      6
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      13

      6
      )
    • ,
    • (
      (
      1
      )
      ,
      13

      12
      )
    • ,
    • (
      0
      ,
      0
      )
    • ,
    • (
      1
      ,
      (
      13

      12
      )
      )
    • ,
    • (
      2
      ,
      (
      13

      6
      )
      )
Question 19
19.
    • Find the set of points satisfying the equation
    • (
      5
      x
      +
      5
      y
      4
      )
      =
      0
  • (i)
    • (
      (
      2
      )
      ,
      14

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      9

      5
      )
    • ,
    • (
      0
      ,
      4

      5
      )
    • ,
    • (
      1
      ,
      (
      1

      5
      )
      )
    • ,
    • (
      4
      ,
      4

      5
      )
  • (ii)
    • (
      (
      2
      )
      ,
      14

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      9

      5
      )
    • ,
    • (
      (
      2
      )
      ,
      (
      6

      5
      )
      )
    • ,
    • (
      1
      ,
      (
      1

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      6

      5
      )
      )
  • (iii)
    • (
      (
      2
      )
      ,
      14

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      9

      5
      )
    • ,
    • (
      1
      ,
      (
      1

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      6

      5
      )
      )
  • (iv)
    • (
      (
      2
      )
      ,
      14

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      9

      5
      )
    • ,
    • (
      0
      ,
      4

      5
      )
    • ,
    • (
      2
      ,
      (
      6

      5
      )
      )
  • (v)
    • (
      (
      2
      )
      ,
      14

      5
      )
    • ,
    • (
      (
      1
      )
      ,
      9

      5
      )
    • ,
    • (
      0
      ,
      4

      5
      )
    • ,
    • (
      1
      ,
      (
      1

      5
      )
      )
    • ,
    • (
      2
      ,
      (
      6

      5
      )
      )
Question 20
20.
    • Find the set of points satisfying the equation
    • y
      =
      9
  • (i)
    • (
      (
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      1
      )
      ,
      9
      )
    • ,
    • (
      0
      ,
      9
      )
    • ,
    • (
      0
      ,
      10
      )
    • ,
    • (
      2
      ,
      9
      )
  • (ii)
    • (
      (
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      1
      )
      ,
      9
      )
    • ,
    • (
      0
      ,
      9
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      4
      ,
      11
      )
  • (iii)
    • (
      (
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      1
      )
      ,
      9
      )
    • ,
    • (
      (
      2
      )
      ,
      7
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      9
      )
  • (iv)
    • (
      (
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      1
      )
      ,
      9
      )
    • ,
    • (
      0
      ,
      9
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      9
      )
  • (v)
    • (
      (
      2
      )
      ,
      9
      )
    • ,
    • (
      (
      1
      )
      ,
      9
      )
    • ,
    • (
      1
      ,
      8
      )
    • ,
    • (
      1
      ,
      9
      )
    • ,
    • (
      2
      ,
      9
      )
Question 21
21.
    • Find the set of points satisfying the equation
    • x
      =
      8
  • (i)
    • (
      8
      ,
      (
      2
      )
      )
    • ,
    • (
      8
      ,
      (
      1
      )
      )
    • ,
    • (
      8
      ,
      0
      )
    • ,
    • (
      7
      ,
      2
      )
    • ,
    • (
      8
      ,
      2
      )
  • (ii)
    • (
      8
      ,
      (
      2
      )
      )
    • ,
    • (
      8
      ,
      (
      1
      )
      )
    • ,
    • (
      6
      ,
      (
      2
      )
      )
    • ,
    • (
      8
      ,
      1
      )
    • ,
    • (
      8
      ,
      2
      )
  • (iii)
    • (
      8
      ,
      (
      2
      )
      )
    • ,
    • (
      8
      ,
      (
      1
      )
      )
    • ,
    • (
      8
      ,
      0
      )
    • ,
    • (
      8
      ,
      1
      )
    • ,
    • (
      8
      ,
      2
      )
  • (iv)
    • (
      8
      ,
      (
      2
      )
      )
    • ,
    • (
      8
      ,
      (
      1
      )
      )
    • ,
    • (
      9
      ,
      (
      1
      )
      )
    • ,
    • (
      8
      ,
      1
      )
    • ,
    • (
      8
      ,
      2
      )
  • (v)
    • (
      8
      ,
      (
      2
      )
      )
    • ,
    • (
      8
      ,
      (
      1
      )
      )
    • ,
    • (
      8
      ,
      0
      )
    • ,
    • (
      8
      ,
      1
      )
    • ,
    • (
      10
      ,
      4
      )
Question 22
22.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        4
        )
      • ,
      • (
        (
        1
        )
        ,
        3
        )
      • ,
      • (
        0
        ,
        2
        )
      • ,
      • (
        1
        ,
        1
        )
      • ,
      • (
        2
        ,
        0
        )
    • ?
  • (i)
    (
    10
    x
    10
    y
    +
    20
    )
    =
    0
  • (ii)
    x
    =
    (
    4
    )
  • (iii)
    y
    =
    (
    x
    7
    )
  • (iv)
    x
    =
    (
    y
    1
    )
  • (v)
    y
    =
    (
    3
    )
Question 23
23.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        23

        8
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        17

        4
        )
        )
      • ,
      • (
        0
        ,
        (
        45

        8
        )
        )
      • ,
      • (
        1
        ,
        (
        7
        )
        )
      • ,
      • (
        2
        ,
        (
        67

        8
        )
        )
    • ?
  • (i)
    y
    =
    (
    7
    )
  • (ii)
    y
    =
    (
    11

    8
    x
    45

    8
    )
  • (iii)
    x
    =
    1
  • (iv)
    (
    11
    x
    8
    y
    +
    1
    )
    =
    0
  • (v)
    (
    5
    x
    +
    4
    y
    1
    )
    =
    0
Question 24
24.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        9

        7
        )
      • ,
      • (
        (
        1
        )
        ,
        5

        7
        )
      • ,
      • (
        0
        ,
        1

        7
        )
      • ,
      • (
        1
        ,
        (
        3

        7
        )
        )
      • ,
      • (
        2
        ,
        (
        1
        )
        )
    • ?
  • (i)
    x
    =
    7
  • (ii)
    (
    13
    x
    8
    y
    33
    )
    =
    0
  • (iii)
    y
    =
    (
    13

    8
    x
    +
    107

    8
    )
  • (iv)
    (
    4
    x
    +
    7
    y
    1
    )
    =
    0
  • (v)
    y
    =
    2
Question 25
25.
    • Which of the following equations satisfy the given points
      • (
        (
        2
        )
        ,
        (
        6
        )
        )
      • ,
      • (
        (
        1
        )
        ,
        (
        6
        )
        )
      • ,
      • (
        0
        ,
        (
        6
        )
        )
      • ,
      • (
        1
        ,
        (
        6
        )
        )
      • ,
      • (
        2
        ,
        (
        6
        )
        )
    • ?
  • (i)
    x
    =
    (
    5
    )
  • (ii)
    y
    =
    (
    6
    )
  • (iii)
    x
    =
    (
    12

    7
    y
    +
    37

    7
    )
  • (iv)
    (
    4
    x
    +
    8
    y
    1
    )
    =
    0
  • (v)
    y
    =
    (
    12

    7
    x
    102

    7
    )
Question 26
26.
    • Which of the following equations satisfy the given points
      • (
        8
        ,
        (
        2
        )
        )
      • ,
      • (
        8
        ,
        (
        1
        )
        )
      • ,
      • (
        8
        ,
        0
        )
      • ,
      • (
        8
        ,
        1
        )
      • ,
      • (
        8
        ,
        2
        )
    • ?
  • (i)
    y
    =
    (
    5
    )
  • (ii)
    (
    9
    x
    7
    y
    +
    31
    )
    =
    0
  • (iii)
    (
    12
    x
    +
    9
    y
    4
    )
    =
    0
  • (iv)
    y
    =
    (
    9

    7
    x
    +
    37

    7
    )
  • (v)
    x
    =
    8
Question 27
27.
    • Which of the displayed lines represent the equation
    • (
      3
      x
      3
      y
      +
      6
      )
      =
      0
    • ?
  • (i)
      • line with point
      • O
  • (ii)
      • line with point
      • M
  • (iii)
      • line with point
      • Q
  • (iv)
      • line with point
      • N
  • (v)
      • line with point
      • P
Question 28
28.
    • Which of the displayed lines represent the equation
    • y
      =
      8
  • (i)
      • line with point
      • R
  • (ii)
      • line with point
      • S
  • (iii)
      • line with point
      • T
  • (iv)
      • line with point
      • U
  • (v)
      • line with point
      • V
Question 29
29.
    • Which of the displayed lines represent the equation
    • x
      =
      4
  • (i)
      • line with point
      • R
  • (ii)
      • line with point
      • U
  • (iii)
      • line with point
      • S
  • (iv)
      • line with point
      • T
  • (v)
      • line with point
      • Q
Question 30
30.
    • Which of the displayed lines represent the equation
    • y
      =
      (
      3

      4
      x
      5

      4
      )
  • (i)
      • line with point
      • S
  • (ii)
      • line with point
      • R
  • (iii)
      • line with point
      • U
  • (iv)
      • line with point
      • V
  • (v)
      • line with point
      • T
Question 31
31.
    • Which of the displayed lines represent the equation
    • y
      =
      7

      2
      x
  • (i)
      • line with point
      • Q
  • (ii)
      • line with point
      • P
  • (iii)
      • line with point
      • R
  • (iv)
      • line with point
      • T
  • (v)
      • line with point
      • S
Question 32
32.
    • Find the equation of a straight line parallel to x-axis and
    • passing through the point
    • (
      5
      ,
      8
      )
  • (i)
    y
    =
    8
  • (ii)
    y
    =
    10
  • (iii)
    x
    =
    5
  • (iv)
    x
    =
    7
  • (v)
    y
    =
    7
Question 33
33.
    • Find the equation of a straight line parallel to y-axis and
    • passing through the point
    • (
      (
      6
      )
      ,
      5
      )
  • (i)
    x
    =
    (
    7
    )
  • (ii)
    x
    =
    (
    4
    )
  • (iii)
    y
    =
    7
  • (iv)
    x
    =
    (
    6
    )
  • (v)
    y
    =
    5
    Assignment Key

  •  1) (i)
  •  2) (iv)
  •  3) (i)
  •  4) (i)
  •  5) (ii)
  •  6) (i)
  •  7) (ii)
  •  8) (v)
  •  9) (iv)
  •  10) (ii)
  •  11) (v)
  •  12) (iii)
  •  13) (iii)
  •  14) (iii)
  •  15) (iii)
  •  16) (i)
  •  17) (v)
  •  18) (v)
  •  19) (v)
  •  20) (iv)
  •  21) (iii)
  •  22) (i)
  •  23) (ii)
  •  24) (iv)
  •  25) (ii)
  •  26) (v)
  •  27) (ii)
  •  28) (i)
  •  29) (v)
  •  30) (ii)
  •  31) (ii)
  •  32) (i)
  •  33) (iv)